Chapter 7.2, Problem 24E

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7th Edition

Alexander + 2 others

ISBN: 9781337614085

Textbook Problem

Find the length of the radius of the inscribed circle for a right triangle whose legs measure 6 and 8.

To determine

**To find:**

The length of the radius inscribed circle for a right triangle whose legs mesure 6 and 8.

Explanation

**Formula used:**

Radius of incircle:

**Given:**

The length of the radius inscribed circle for a right triangle whose legs mesure 6 and 8.

**Calculation:**

Consider the measures of legs of a right triangle 6 and 8.

From the right triangle,

substitute

Taking square root on both sides,

AC=Hypotenuse of the right angle

So we take

Next we find perimeter of triangle,

Let

Then we find area of triangle,

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